2854667116224 has 1680 divisors, whose sum is σ = 11972481333120. Its totient is φ = 660917698560.

The previous prime is 2854667116201. The next prime is 2854667116237. The reversal of 2854667116224 is 4226117664582.

2854667116224 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 6 + 6 + 7 + 1 + 1 + 622 + 4 = 666.

2854667116224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 902517267 + ... + 902520429.

It is an arithmetic number, because the mean of its divisors is an integer number (7126476984).

Almost surely, 2^{2854667116224} is an apocalyptic number.

2854667116224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2854667116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986240666560).

2854667116224 is an abundant number, since it is smaller than the sum of its proper divisors (9117814216896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2854667116224 is a wasteful number, since it uses less digits than its factorization.

2854667116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3222 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 2854667116224 in words is "two trillion, eight hundred fifty-four billion, six hundred sixty-seven million, one hundred sixteen thousand, two hundred twenty-four".